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22084384 = 257195189
BaseRepresentation
bin101010000111…
…1101100100000
31112120000002011
41110033230200
521123200014
62105202304
7355466650
oct124175440
945500064
1022084384
1111514363
127490394
1347630aa
142d0c360
151e137c4
hex150fb20

22084384 has 48 divisors (see below), whose sum is σ = 52315200. Its totient is φ = 8964864.

The previous prime is 22084367. The next prime is 22084427. The reversal of 22084384 is 48348022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662 + ... + 6850.

It is an arithmetic number, because the mean of its divisors is an integer number (1089900).

Almost surely, 222084384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22084384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157600).

22084384 is an abundant number, since it is smaller than the sum of its proper divisors (30230816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22084384 is a wasteful number, since it uses less digits than its factorization.

22084384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5217 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 22084384 is about 4699.4025152140. The cubic root of 22084384 is about 280.5617294607.

The spelling of 22084384 in words is "twenty-two million, eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 5189 10378 20756 36323 41512 72646 83024 98591 145292 166048 197182 290584 394364 581168 690137 788728 1162336 1380274 1577456 2760548 3154912 5521096 11042192 22084384